Pith Number

pith:4VR4UMCS

pith:2020:4VR4UMCSNDERK5LT77YU4G5GXQ

not attested not anchored not stored refs pending

Regularized Optimal Transport is Ground Cost Adversarial

Fran\c{c}ois-Pierre Paty, Marco Cuturi

arxiv:2002.03967 v3 · 2020-02-10 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VR4UMCSNDERK5LT77YU4G5GXQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T01:23:57.108245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e563ca305268c9157573fff14e1ba6bc0124e6dd23ff39213024bf3693b16a47

Aliases

arxiv: 2002.03967 · arxiv_version: 2002.03967v3 · doi: 10.48550/arxiv.2002.03967 · pith_short_12: 4VR4UMCSNDER · pith_short_16: 4VR4UMCSNDERK5LT · pith_short_8: 4VR4UMCS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4VR4UMCSNDERK5LT77YU4G5GXQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e563ca305268c9157573fff14e1ba6bc0124e6dd23ff39213024bf3693b16a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b459ccde160b3bdb111c45a8b7d11fafb38d7b49b4b0bc4eef81412ce6ff352",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-02-10T17:28:35Z",
    "title_canon_sha256": "81622ccda245ddc0ac8509397326df5dfe0a973190481395400c1d26b267051f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03967",
    "kind": "arxiv",
    "version": 3
  }
}